Prüfer and Morita Hulls of FCP Extensions

DOI10.1080/00927872.2014.897543zbMath1365.13012arXiv1502.07247OpenAlexW2044669910MaRDI QIDQ5245114

Martine Picavet-L'Hermitte, Gabriel Picavet

Publication date: 2 April 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07247

zbMATH Keywords

integral extensionflat epimorphismFCPMoritaFIP extensionPrüfer hull

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Extension theory of commutative rings (13B02) Integral dependence in commutative rings; going up, going down (13B21) Étale and flat extensions; Henselization; Artin approximation (13B40) Rings of fractions and localization for commutative rings (13B30)

Related Items (8)

The Loewy series of an FCP (distributive) ring extension ⋮ Unnamed Item ⋮ Boolean FIP ring extensions ⋮ Splitting ring extensions ⋮ Unnamed Item ⋮ Quasi-Prüfer Extensions of Rings ⋮ Ring extensions of length two ⋮ When an extension of Nagata rings has only finitely many intermediate rings, each of those is a Nagata ring

Cites Work

• Manis valuations and Prüfer extensions. I: A new chapter in commutative algebra
• Some dual homological results for modules over commutative rings
• Closure along an admissible subset, seminormality and \(t\)-closedness.
• Characterizing the ring extensions that satisfy FIP or FCP
• Flat modules, injective modules and quotient rings
• Homomorphismes minimaux d'anneaux

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